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Finding the Fourth Proportional to 293.22, 402.03 and 271.89

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Solution

The fourth proportional to 293.22, 402.03 and 271.89 is: 372.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.22 : 402.03 = 271.89 : x
  2. Step 2: Convert to fraction form
    293.22/402.03 = 271.89/x
  3. Step 3: Cross multiply
    293.22x = 402.03 × 271.89
  4. Step 4: Simplify right side
    293.22x = 109,307.94
  5. Step 5: Solve for x
    x = 109,307.94/293.22
  6. Step 6: Final answer
    x = 372.78

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.